Realizing full \(n\)-shifts in simple Smale flows

DOI10.1016/j.topol.2016.12.009zbMath1393.37024OpenAlexW2555755579MaRDI QIDQ505375

Michael C. Sullivan

Publication date: 20 January 2017

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2016.12.009

zbMATH Keywords

linking numbersuspension flowchain recurrent setMarkov partitionshift of finite typeSmale flow

Mathematics Subject Classification ID

Braid groups; Artin groups (20F36) Dynamics induced by flows and semiflows (37C10) Invariant manifold theory for dynamical systems (37D10) Dynamical systems with hyperbolic orbits and sets (37D05)

Cites Work

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• Knots and links in three-dimensional flows
• Simple Smale flows with a four band template
• Lorenz like Smale flows on three-manifolds
• Nonsingular Smale flows on \(S^ 3\)
• Closed orbits of non-singular Morse-Smale flows on \(S^ 3\)
• Knots, links, and symbolic dynamics
• Non-singular Morse-Smale flows on 3-dimensional manifolds
• Visually building Smale flows in \(S^3\)
• Knotted periodic orbits in dynamical system. II. Knot holders for fibered knots
• Flow equivalence of subshifts of finite type
• Flow equivalence of reducible shifts of finite type
• An Introduction to Symbolic Dynamics and Coding

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